Details

sample153.0ms

Algorithm

intervals

Results

88.0ms	194×	body	1280	valid
30.0ms	120×	body	640	valid
8.0ms	50×	body	320	valid
7.0ms	145×	body	80	valid
2.0ms	22×	body	160	valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	44	7
2	104	7
3	213	7
4	364	7
5	850	7
6	1415	7
7	1968	7
8	4985	7
9	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 57.7b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
6.8b	(- (exp (- 0.0 im)) (exp im))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

216×	`prod-diff`
119×	`add-sqr-sqrt` `*-un-lft-identity`
115×	`add-cube-cbrt`
110×	`exp-sum`
44×	`distribute-rgt-in` `distribute-lft-in`
14×	`fma-neg`
13×	`sub-neg`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 184

Calls

2 calls:

22.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
12.0ms	(- (exp (- 0.0 im)) (exp im))

series116.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
35.0ms	(- (exp (- 0.0 im)) (exp im))

simplify85.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	714	4198
1	2514	2591
2	5003	2251

prune205.0ms

Filtered

190 candidates to 53 candidates (27.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	2	191

Merged error: 0.1b

Counts

191 → 2

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/60 (pow im 5) (* 2 im))
0.1b	(* 1/3 (pow im 3))
0.1b	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1`
6×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-r/` `-commutative` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `flip3--` `unpow3` `pow-exp` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 107

Calls

3 calls:

1.0ms	(fma 1/60 (pow im 5) (* 2 im))
6.0ms	(* 1/3 (pow im 3))
11.0ms	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

series332.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(fma 1/60 (pow im 5) (* 2 im))
41.0ms	(* 1/3 (pow im 3))
171.0ms	(* (* 0.5 (cos re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))

simplify79.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	563	1874
1	2447	1256
2	5002	1221

prune249.0ms

Filtered

116 candidates to 54 candidates (46.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	107	9	116
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	107	11	118

Merged error: 0.0b

Counts

118 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
0.6b	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
0.6b	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
0.6b	(cbrt (fma 1/60 (pow im 5) (* 2 im)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
1.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
1.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
1.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))

series2.3s

Counts

4 → 12

Calls

4 calls:

594.0ms	(* (cbrt (fma 1/60 (pow im 5) (* 2 im))) (cbrt (fma 1/60 (pow im 5) (* 2 im))))
561.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
569.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
563.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))

simplify110.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	293	1041
1	911	965
2	3966	833
3	5001	800

prune406.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	91	13	104

Merged error: 0.0b

Counts

104 → 13

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
0.6b	(cbrt (cbrt (fma 1/60 (pow im 5) (* 2 im))))
0.6b	(cbrt (cbrt (fma 1/60 (pow im 5) (* 2 im))))
0.6b	(cbrt (cbrt (fma 1/60 (pow im 5) (* 2 im))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
2.0ms	(cbrt (cbrt (fma 1/60 (pow im 5) (* 2 im))))
2.0ms	(cbrt (cbrt (fma 1/60 (pow im 5) (* 2 im))))
2.0ms	(cbrt (cbrt (fma 1/60 (pow im 5) (* 2 im))))

series2.4s

Counts

4 → 12

Calls

4 calls:

571.0ms	(cbrt (fma 1/60 (pow im 5) (* 2 im)))
560.0ms	(cbrt (cbrt (fma 1/60 (pow im 5) (* 2 im))))
545.0ms	(cbrt (cbrt (fma 1/60 (pow im 5) (* 2 im))))
687.0ms	(cbrt (cbrt (fma 1/60 (pow im 5) (* 2 im))))

simplify70.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	240	846
1	621	789
2	2282	722
3	5001	671

prune389.0ms

Filtered

73 candidates to 69 candidates (94.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	73	13	86

Merged error: 0.0b

Counts

86 → 13

regimes273.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	28	10
2	28	10

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.5s	5678×	body	1280	valid
970.0ms	3617×	body	640	valid
268.0ms	1545×	body	320	valid
224.0ms	4450×	body	80	valid
79.0ms	664×	body	160	valid